Publication: Sine-Gordon wobbles through bäcklund transformations
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2011-10
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American Institute of Mathematical Sciences
Abstract
In this work we construct the wobble exact solution of sine-Gordon
equation by means of B acklund Transformations. We nd the parameters of
the transformations corresponding to the Bianchi diagram for the wobble as
a particular 3-soliton solutions. We show that this solution agrees with the
wobbles obtained by K albermann and Segur by means of the Inverse Scattering
Transform, and by Ferreira et al. using the Hirota method. The new
formulation introduced allows to identify easily the parameters that de ne the
building blocks of this solution - a kink and a breather, and can be used in
further studies of this solution in the perturbed sine-Gordon equation.
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Bibliographic citation
Discrete and Continuous Dynamical Systems, vol. 4, n. 5, oct. 2011. Pp. 1047-1058